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(35a+47)2\left(\frac{3}{5}a+\frac{4}{7}\right)^2

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Full solution

Q. (35a+47)2\left(\frac{3}{5}a+\frac{4}{7}\right)^2
  1. Write Expression: First, write down the expression to be squared.\newline(35a+47)2(\frac{3}{5}a + \frac{4}{7})^2
  2. Apply Formula: Now, apply the formula (a+b)2=a2+2ab+b2(a + b)^2 = a^2 + 2ab + b^2 to the expression.(35a)2+2⋅(35a)⋅(47)+(47)2(\frac{3}{5}a)^2 + 2\cdot(\frac{3}{5}a)\cdot(\frac{4}{7}) + (\frac{4}{7})^2
  3. Calculate Terms: Calculate each term separately.\newline(35a)2=(3252)a2=925a2(\frac{3}{5}a)^2 = (\frac{3^2}{5^2})a^2 = \frac{9}{25}a^2\newline2⋅(35a)⋅(47)=2⋅(3⋅45⋅7)a=2435a2\cdot(\frac{3}{5}a)\cdot(\frac{4}{7}) = 2\cdot(\frac{3\cdot4}{5\cdot7})a = \frac{24}{35}a\newline(47)2=1649(\frac{4}{7})^2 = \frac{16}{49}
  4. Combine Final Answer: Combine all the terms to get the final answer. 925a2+2435a+1649\frac{9}{25}a^2 + \frac{24}{35}a + \frac{16}{49}

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